Paint spills onto a floor in a circular pattern. the radius of the spill increases at a constant rate of 2.5 inches per minute. how fast is the area of the spill increasing when the radius of the spill is 18 inches?
a) 5pi in^2/min
b) 36pi in^2/min
c) 45pi in^2/min
d) 90pi in ^2/min

Answers

Answer 1

How fast is the area of the spill increasing when the radius of the spill is 18 inches is d) 90pi in ^2/min.

Area of the spill

Area of the spill=S=πr²

dS/dr=(πr²)=2πr

Radius change with speed=dr/dt =2.5(m/s)

Area of the spill will increase with speed

dS/dt = dS/dr × dr/dt =2πr ×dr/dt

=2π×18×2.5

=282.74m²/s or 90pi in²/min


Therefore the correct option is D.

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Related Questions

. When was the Arctic National Wildlife Refuge (ANWR) designated for protection?

. Where is the Arctic National Wildlife Refuge and how large is it?

. Explain the position of Senator Malcolm Wallop. ​

Answers

When was the Arctic National Wildlife Refuge (ANWR) designated for protection as During his Senate tenure, Wallop supported sturdy countrywide security, tax reform (such as discounts in property and present taxes), and different factors of Reagan conservatism.

What is Arctic National Wildlife Refuge and how large is it?

On December 6, 1960, President Dwight Eisenhower made their imaginative and prescient a truth by setting up the 8.9-million-acre Arctic National Wildlife Range, especially for its “precise wildlife, wilderness, and leisure values.” In 1980, President Jimmy Carter persevered this legacy by increasing the area.

While withinside the Senate, Wallop served at the Senate Judiciary Committee, Energy and Natural Resources Committee, and Select Committee on Intelligence.The Arctic National Wildlife Refuge (ANWR) is certainly considered one of Alaska's crown jewels withinside the Arctic location and encompasses 19.6 million acres in faraway northeastern Alaska. The safe haven straddles the Japanese Brooks Range from the treeless Arctic Coast to the taiga of the Porcupine River Valley.

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Which of the following best summarizes the population policy strategy of India?

A.Rewards for those with only one child
B.Punishment for those that have children
C.Family planning and education
D.Resources for larger families

Answers

Answer:

C

Explanation:

Learning from the mistakes taken by China, India invested and still invests heavily in family planning and education in order to mitigate the high increase in population.

The option that best summarizes the population policy strategy of India is family planning and education. Thus, the correct option for this question is C.

What is Population policy?

Population policy may be characterized as a type of strategy that must be implemented a set of measures by the government of the country in order to modify the way its population is changing and deliver a way of improving it.

As per the latest data and information, the population policy strategy of India is centered on family planning and education. This is because it makes it possible to overcome the problems faced by some well-developed countries like China with their growing population.

So, by learning a lesson from them, now the government of India is focusing on its citizens, their growth, and their well-being.

Therefore, the option that best summarizes the population policy strategy of India is family planning and education. Thus, the correct option for this question is C.

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(50 POINTS!!)

Javier wants to improve his body composition. Improving cardiorespiratory endurance, muscular strength and muscular endurance will assist in his body composition goal. Describe how those components of fitness could improve Javier's body composition goal.

Answers

Those components of fitness could improve Javier's body composition goal by the Regular exercising and bodily pastime promotes sturdy muscle tissues and bones.

What are the 5 additives?

The 5 health-associated additives of bodily health are cardiorespiratory endurance, muscular strength, muscular endurance, flexibility, frame composition and nutrition. Probably the maximum critical health element is cardiorespiratory endurance (CRE).

It improves respiratory, cardiovascular health, and standard health.You can enhance your cardiovascular health via way of means of doing everyday exercising. Running, walking, cycling, swimming, dancing, and boxing are only some of the various exercises you can strive out. The secret is to be consistent. Carry on analyzing to peer how lots exercising you must be aiming to do.

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A population of deer is separated by an emerging volcano. The two populations come back into contact 200 years later, but are incapable of breeding. Which of the following best describes the process that occurred?

adaptation

speciation

convergent selection

stabilizing selection

Answers

Answer:
B. speciation

Step-by-Step-Explanation:
Speciation is a term used when the formation of new and distinct species in the course of evolution.
Speciation involves the splitting of a singular evolutionary lineage into two or more genetically independent lineages.

Answer:B

Explanation: I got it right


Recommending additional items that complement a customer's purchase, such as shoe cleaner to go with new leather shoes is called:
A. Under selling
B. Up selling
C. Cross selling
D. Mixed selleling

Answers

Recommending additional items that complement a customer's purchase, such as shoe cleaner to go with new leather shoes is called: C. cross selling.

What is cross selling?

Cross selling can be defined as a sales and marketing technique that involves a buyer recommending complementary products to existing customers, so as to boost the level of sales.

In this context, we can infer and logically conclude that an example of cross selling is recommending additional items that complement a customer's purchase, such as shoe cleaner to go with new leather shoes he or she purchased.

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Helppp! does anyone know where i can get the answers to :
end of semester test: advanced english literature and composition b
please i need it asap! it has 72 questions ):

Answers

No but I would help if I did I’ll keep a eye out

what role does the hippocampus play?

please help help help

this is child development class

I will give brainlist and I will follow you​

Answers

It’s role is learning and memory

Rate mah animals!!!!
uwu



the first one is named lucky, the second is snowy, the third one is mia, the forth one is benjamin, and the last one is my syrian hamster pikachu uwu

Answers

Answer:

10/10

Explanation:

Which title most accurately describes this timeline

Answers

The title most accurately describes this timeline is the option C. event leading to the American Revolution.

What was the Townshend Acts?

The Townshend Acts could use the sales raised with the aid of using the obligations to pay the salaries of colonial governors and judges, making sure the loyalty of America's governmental officers to the British Crown.

The resentment over the Townshend Acts divided American colonists into patriots and loyalists. The next boycotts and protests compelled the British authorities to ship and region greater troops in American towns like Philadelphia, New York and Boston.

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what makes a forest sustainable

Answers

Sustainable forestry is about stewardship and care—care for trees, naturally, but also for smaller plants, soil, wildlife and water.

10. The probability of a new york teenager owning a skateboard is 0. 37; of owning a bicycle is 0. 36 and of owning both is 0. 27. A) are the events mutually exclusive or not mutually exclusive?

Answers

The probability of the teenager owning a skateboard or a bicycle will be 0.46 or 46%. And the events are mutually exclusive.

What is the addition rule of size for two subsets?

For two subsets A and B of the universal set U, we have:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

The probability of a new york teenager owning a skateboard is 0.37, of owning a bicycle is 0.36, and of owning both is 0.27.

Then the probability of the teenager owning a skateboard or a bicycle will be

P(A ∪ B) = 0.37 + 0.36 - 0.27

P(A ∪ B) = 0.73 - 0.27

P(A ∪ B) = 0.46

Thus, the probability of the teenager owning a skateboard or a bicycle will be 0.46 or 46%.

The events are mutually exclusive.

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6. A staff reading taken on a point whose elevation is to be determined as on a change point is called a) invert reading b) fore sight reading c) intermediate reading d) back sight reading

Answers

A staff reading taken on a point whose elevation is to be determined as on a change point is called fore sight-reading. Then the correct option is B.

What is fore sight-reading?

Foresight is an observation made on an unknown coordinate point (s). Foresight is a reading that looks "ahead" anywhere along the line of movement because a survey advances from a precise location to unknown positions.

A staff reading taken on a point whose elevation is to be determined as on a change point is called fore sight-reading.

Thus, the correct option is B.

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What is Respect?Describe the VALUE of Respect?

Answers

Answer:

Respect, also called esteem, is a positive feeling or action shown towards someone or something considered important or held in high esteem or regard. It conveys a sense of admiration for good or valuable qualities.

Respect means that you accept somebody for who they are, even when they're different from you or you don't agree with them. Respect in your relationships builds feelings of trust, safety, and wellbeing. Respect doesn't have to come naturally – it is something you learn.

Which statement accurately describes industry today?

A.
The secondary sector contributes less to countries’ GNI than the primary sector.

B.
China, Japan, Germany, and the United States produce 50 percent of industrial output.

C.
Industrial dominance has shifted from the Northern to the Southern hemisphere.

D.
Outsourcing of industrial jobs since 1980 resulted in North America no longer being an industry leader.

E.
Most industries have shifted away from fossil fuel use.?'

Answers

The statement that accurately describes an industry today is; Option B

How to Define an Industry?

An industry is defined as a classification that refers to a group of companies that are related in terms of their primary business activities.

Now, in modern terms the word industry has evolved to mean a lot and as such when looking at the options the one that accurately describes an industry today is Option B.

Option B is true because from statistics, we see that China produces 20% of global manufacturing, United states produces 18% of global manufacturing, Japan produces 10% and Germany produces 7% which is a total of over 50%.

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The statement that accurately describes industry today is that Most industries have shifted away from fossil fuel use.

What are today's industries?

The state of the industries of today are known to be constantly growing. The major ones are the Health and energy  sector while the tech aspect is growing in a rapid rate.

The statement that accurately describes industry today is that Most industries have shifted away from fossil fuel use as  there are more clean energy now.

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What did many people feel should change in Europe after World War II?

Answers

People felt that Europe was divided between the soviet and Us Blocks after World War II.

What was World War II?

World War II can be regarded as the global war of 1930s which was a conflict that hit almost entire globe.

Therefore, after the world war, Europe experience trouble in economy and there was division among people.

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Most manufacturing industries have an optimum plant size. Bigger leads to increased costs per unit, and smaller leads to increased costs per unit (no economies of scale). This can be explained by:
Select one:
a. the long-run average cost curve being U-shaped
b. too small means more overhead costs spread over fewer units of output
c. short-run cost curves being U-shaped
d. all the answers listed
e. bureaucracy eventually taking root (too many paper pushers per unit if output)

Answers

In the scenario above, it can be explained by the long-run average cost curve being U-shaped.

What leads to economies of scale?

Economies of scale is known to be a kind of cost benefit gotten by companies if production is said to be very efficient.

Note that the long run average cost curve is seen in a U shape to show that the average cost at first decreases as a result of  economies of scale and as such, the firm had increasing returns to scale and this is shown by consistent returns as the firm works or functions at its optimal size.

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Answer: the answer is actually “all the answers listed”

Explanation:

You overhear your friend, Alicia saying, “Credit cards? Yuck! I’m never using credit cards because I heard that they lead to a lot of debt!” How would you respond to Alice and why

Answers

Answer:

no

Explanation:

I wouldn't even say anything more.

What was the average speed of the first flight of a powered airplane?

Answers

Answer:

I think the average speed is  6.8  miles per hour

Explanation:

hope this helps if not let me know have a blessed day

Answer:

Explanation:

Comment

The first flight was given as 120 feet in 12 seconds. Doing the math

[tex]\dfrac{\dfrac{120}{5280} }{\dfrac{12}{3600} }[/tex]

gives 6.82 miles / hour

But the history of what made this flight possible was an engineering act of very careful experimentation and a great deal of thought on how to use mathematics to solve flight problems. It's worth looking up.

When it comes to aggressive driving, you must acknowledge, witness, and modify your:

Answers

Answer:

behavior

Explanation:

Yes yes and yes
Which one is yes
Pick a random one

Answers

Answer:

yes

Explanation:

yes



Write 4 4/5 as an improper fraction

Answers

Answer: Heyaa! ^

Your Answer is... 24/5

Explanation:

To convert mixed number 4 4/5 to improper fraction, you follow these steps:

Multiply the whole number by the denominator

4 × 5 = 20

Add the product from Step 1 to the numerator

20 + 4 = 24

Write answer from Step 2 over the denominator

24/5

The mixed number 4 4/5 converted to improper fraction is therefore :

24/5.

Hopefully this helps you!

24/5 is a improper fraction of 4 4/5.

What is improper fraction?

An improper fraction is a fraction in which the numerator (top number) is greater than or equal to the denominator (bottom number).  Fractions such as 65 or 114 are “improper”.

Proper fractions are those that are higher than 0 but less than 1. The numerator is less than the denominator in appropriate fractions. An improper fraction is one that has a numerator that is higher than or equal to the denominator.

A wrong fraction is always bigger than or equal to one. A mixed number, which combines a whole number and a correct fraction, is the last type of number.

Therefore, 24/5 is a improper fraction of 4 4/5.

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What will happen to an economy that produces and imports a good if an import tariff is removed?

Answers

Answer: Import tariff is kind of like tax, so they will lose a source of money.

Explanation:

Sorry, I'm not really sure about this. You could maybe just look it up online.

Which brain structure bridges communication between the central nervous system and the endocrine system?
O Amygdala
O Hippocampus
O Hypothalamus
O Reticular formation
O Pons

Answers

Answer:

hypothalamus

Explanation:

Hypothalamus

Hope this helps!

Should people eat at a lower trophic level? Outline three pros and three cons of eating only plants and plant products.

Answers

Answer:

Eating the producers rather than feeding on the 3rd trophic level could support 300 times more people in this situation. An additional pro is that eating vegetables Is healthier, especially if eating a well-balanced diet. Too much meat can be bad for your health.

Would love a brainliest if you don't mind!

Human populations should take food from lower trophic levels to minimize resource extraction for a given amount of food consumed.

What is a lower trophic level?

These lower tropic levels constitute the base of the food chain, where zooplankton and other animals with plant-like characteristics, such as phytoplankton, are fed. Marine worms that live in the sediments and organisms that resemble plants, known as microphytobenthos, are other lower trophic level organisms.

Some advantages of eating only plants and plant products are, To effectively absorb the nutrients from the food that support your immune system and reduce inflammation, and eating a plant-based diet helps your gut health. Fiber is excellent for maintaining healthy bowel habits and helps decrease cholesterol and balance blood sugar.

Now, some disadvantages of eating only plants and plant products are,

Buy only what you need of fresh produce because it might be quite perishable, in order to reduce waste.Possibly a diet lacking in protein. The essential amino acids for protein are found in animals, milk, and eggs. If not correctly mixed, plant-based proteins are an inadequate source of protein. Make sure the plants you consume can provide the right ratio and mix of amino acids.It may be difficult to stop eating animals if you decide to become a vegetarian or vegan. However, a vegan diet need not be vegetarian. Everyone can locate their ideal middle ground.

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3 3/5 x (-8 1/3) in faractions

Answers

it took me less than 15 sec to solve this ._.

Sandra is an agriscientist studying the use of animal fats to produce biodiesel. what is sandra attempting to do?

Answers

Answer:

Produce biodiesel from natural sources (Animal Fats)

Explanation:

Produce biodiesel from natural sources is sandra attempting to do. As Sandra is an agriscientist studying the use of animal fats to produce biodiesel.

What is agriscientist?

The exact, natural, economic, and social sciences that are pertinent to the study and practice of agriculture are a part of the broad, multidisciplinary field of biology known as "agriscience."

Agriculture is the practice of preparing the soil for the growth of plants and animals. It entails preparing plant and animal products for consumption by people and dispersing them to markets.

Processing is defined as any action that enhances or maintains a substance's or product's quality, changes its physical or chemical attributes, or adds value to it in any other way. Like washing vegetables, processing can be quick and simple, or labor-intensive and challenging, like making cheese or wine.

Thus, Produce biodiesel from natural sources.

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Every so often grandpa would take the Vietnam war apart to try to make sense of the experience true or false?

Answers

Whos grandpa?What grandpa? Wheres grandpa….
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